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Functions and Graphs

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Question 167

The function f f\,f is defined by

f(x)=3x−5x−2,x∈R,x≠2 f(x) = \frac{3x - 5}{x - 2}, \quad x \in \mathbb{R}, x \neq 2 f(x)=x−23x−5​,x∈R,x=2
a.

Find f−1(k)f^{-1}(k)f−1(k) in terms of kkk

[2]
b.

Show that ff(x)=ax+bx−1\displaystyle ff(x) = \frac{ax + b}{x - 1}ff(x)=x−1ax+b​ where a a\,a and b b\,b are integers to be found.

[3]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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